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Finding the Third Proportional to 12,134 and 24,598

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Solution

The third proportional to 12,134 and 24,598 is: 49,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134 : 24,598 = 24,598 : x
  2. Step 2: Convert to fraction form
    12,134/24,598 = 24,598/x
  3. Step 3: Cross multiply
    12,134x = 24,598 × 24,598
  4. Step 4: Simplify right side
    12,134x = 605,061,604
  5. Step 5: Solve for x
    x = 605,061,604/12,134
  6. Step 6: Final answer
    x = 49,864.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.